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arXiv 1111.4005astro-ph.SR
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旋转B型星低频模的振幅

Amplitudes of low frequency modes in rotating B type stars

Umin Lee

摘要:

利用弱非线性振荡理论,考虑自转对慢脉动B星低频模的影响,估计了慢脉动B星低频模的振幅。应用Schenk等人(2002)的公式,我们计算了低频模式之间的非线性耦合系数,并估计了在恒星中激发的模式的平衡振幅,假设不稳定模式的振幅由于与稳定模式的非线性耦合而饱和,即由于一个不稳定模式和两个稳定模式之间的参数不稳定性。我们用传统的近似方法计算了旋转恒星中的绝热振荡和非绝热振荡。我们发现$r$ -模式在快速旋转的恒星通过非线性耦合的振幅确定中发挥了重要作用。我们还发现,对于低$m$模式,由低频模式引起的辐射亮度的分数振幅的顺序为$10^{-4}$到$10^{-3}$在表面。

英文摘要:

Using weakly non-linear theory of oscillation, we estimate the amplitudes of low frequency modes in a slowly pulsating B (SPB) star, taking account of the effects of rotation on the modes. Applying the formulation by Schenk et al (2002), we compute non-linear coupling coefficient between the low frequency modes and estimate the equilibrium amplitudes of the modes excited in the star, assuming the amplitudes of the unstable modes are saturated as a result of non-linear coupling with stable modes, that is, as a result of parametric instability expected between one unstable mode and two stable modes. We use the traditional approximation to calculate adiabatic and non-adiabatic oscillations in a rotating star. We find $r$-modes in a rapidly rotating star play a significant role in the amplitude determination through non-linear coupling. We also find that for low $m$ modes, the fractional amplitudes of the radiative luminosity caused by the low frequency modes are of order $10^{-4}$ to $10^{-3}$ at the surface.

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